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Finding the Fourth Proportional to 403,361.40, 605,042.10 and 122,842.20

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Solution

The fourth proportional to 403,361.40, 605,042.10 and 122,842.20 is: 184,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,361.40 : 605,042.10 = 122,842.20 : x
  2. Step 2: Convert to fraction form
    403,361.40/605,042.10 = 122,842.20/x
  3. Step 3: Cross multiply
    403,361.40x = 605,042.10 × 122,842.20
  4. Step 4: Simplify right side
    403,361.40x = 74,324,702,656.62
  5. Step 5: Solve for x
    x = 74,324,702,656.62/403,361.40
  6. Step 6: Final answer
    x = 184,263.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.